λ
Harmonic Matrix

9,845,241

3 × 7 × 468821
Deficient Odd Composite

9,845,241 has digital root 6. The neighboring primes are 9845233 and 9845263; its proper-divisor sum differs from the starting integer by -4,688,178.

Prime Factor Structure

Factorization String 3 × 7 × 468821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,002,304
Proper Divisor Sum 5,157,063
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9845233 ← → #9845263

Radix Representation

Decimal 9845241
Binary 100101100011100111111001 (24 bits)
Octal 0o45434771
Hexadecimal 0x9639F9

Divisor Catalog (8)

1 3 7 21 468,821 1,406,463 3,281,747 9,845,241

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,845,241 29,535,724 14,767,862 7,383,931 22,151,794 11,075,897 33,227,692 16,613,846 8,306,923 24,920,770 12,460,385 37,381,156 18,690,578 9,345,289 28,035,868 14,017,934 7,008,967 21,026,902 10,513,451 31,540,354 15,770,177 47,310,532 23,655,266 11,827,633 35,482,900 17,741,450 8,870,725 26,612,176 13,306,088 6,653,044 3,326,522 1,663,261 4,989,784 2,494,892 1,247,446 623,723 1,871,170 935,585 2,806,756 1,403,378 701,689 2,105,068 1,052,534 526,267 1,578,802 789,401 2,368,204 1,184,102 592,051 1,776,154 888,077 2,664,232 1,332,116 666,058 333,029 999,088 499,544 249,772 124,886 62,443

More profiles

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